Mean versus median

Let $S_T$ follow GBM with $\mu = 11\%$ and $\sigma = 20\%$. (a) Compute $P(S_T < E[S_T])$ for $T = 10$. (b) Compute $P(S_T < S_0)$ for $T = 1, 10, 30$. (c) A mutual-fund distributor shows a client the expected corpus $S_0 e^{\mu T}$. What fraction of outcomes falls short of it at $T = 10$?